About

Overview

Reflecting Cengage Learning's commitment to offering value for students, these new hybrid versions feature the instructional presentation found in CALCULUS AN APPLIED APPROACH, Ninth Edition while delivering all of end-of-section exercises online in Enhanced WebAssign®. Access to Enhanced WebAssign® includes the premium eBook, giving you an interactive learning experience with the convenience of a text that is both brief and affordable.
Designed specifically for business, economics, or life/social sciences majors, CALCULUS: AN APPLIED APPROACH, Ninth Edition, motivates your study while fostering understanding and mastery. The book emphasizes integrated and engaging applications that show you the real-world relevance of topics and concepts. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to diverse interests. The Ninth Edition builds upon its applications emphasis through updated exercises and relevant examples. Pedagogical features—from algebra review to study tips—continue to provide you with extra guidance and practice.

Features and Benefits

Every section begins with a list of objectives that highlight the learning outcomes of that section and provide instructors a tool for lesson planning.

Appearing in the middle of each chapter, Mid-Chapter Quizzes are single-page tests that let students practice skills and concepts learned in the chapter. This opportunity for self-assessment helps uncover potential weaknesses that might require further review of the material.

A wide variety of relevant examples—each of which is titled for easy reference—include solutions presented graphically, analytically, and/or numerically to provide further insight into mathematical concepts. Examples that illustrate real-life situations are identified with an icon.

Tech Tutor boxes provide guidance on using technology to ease lengthy calculations, present a graphical solution, or discuss where using technology can lead to misleading or wrong solutions. In addition, exercises requiring technology are identified with a graphing calculator icon.

Table of Contents

1. FUNCTIONS, GRAPHS, AND LIMITS.The Cartesian Plane and the Distance Formula. Graphs of Equations. Lines in the Plane and Slope. Functions. Limits. Continuity.2. DIFFERENTIATION.The Derivative and the Slope of a Graph. Some Rules for Differentiation. Rates of Change: Velocity and Marginals. The Product and Quotient Rules. The Chain Rule. Higher-Order Derivatives. Implicit Differentiation. Related Rates.3. APPLICATIONS OF THE DERIVATIVE.Increasing and Decreasing Functions. Extrema and the First-Derivative Test. Concavity and the Second-Derivative Test. Optimization Problems. Business and Economics Applications. Asymptotes. Curve Sketching: A Summary. Differentials and Marginal Analysis.4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.Exponential Functions. Natural Exponential Functions. Derivatives of Exponential Functions. Logarithmic Functions. Derivatives of Logarithmic Functions. Exponential Growth and Decay.5. INTEGRATION AND ITS APPLICATIONS.Antiderivatives and Indefinite Integrals. Integration by Substitution and the General Power Rule. Exponential and Logarithmic Integrals. Area and the Fundamental Theorem of Calculus. The Area of a Region Bounded by Two Graphs. The Definite Integral as the Limit of a Sum.6. TECHNIQUES OF INTEGRATION.Integration by Parts and Present Value. Integration Tables. Numerical Integration. Improper Integrals.7. FUNCTIONS OF SEVERAL VARIABLES.The Three-Dimensional Coordinate System. Surfaces in Space. Functions of Several Variables. Partial Derivatives. Extrema of Functions of Two Variables. Lagrange Multipliers. Least Squares Regression Analysis. Double Integrals and Area in the Plane. Applications of Double Integrals.8. TRIGONOMETRIC FUNCTIONS.Radian Measure of Angles. The Trigonometric Functions. Graphs of Trigonometric Functions. Derivatives of Trigonometric Functions. Integrals of Trigonometric Functions.9. PROBABILITY AND CALCULUS.Discrete Probability. Continuous Random Variables. Expected Value and Variance.10. SERIES AND TAYLOR POLYNOMIALS.Sequences. Series and Convergence. p-Series and the Ratio Test. Power Series and Taylor's Theorem. Taylor Polynomials. Newton's Method.11. DIFFERENTIAL EQUATIONS.Solutions of Differential Equations. Separation of Variables. First-Order Linear Differential Equations. Applications of Differential Equations.APPENDIX A: PRECALCULUS REVIEW.The Real Number Line and Order. Absolute Value and Distance on the Real Number Line. Exponents and Radicals. Factoring Polynomials. Fractions and Rationalization.APPENDIX B: ALTERNATIVE INTRODUCTION TO THE FUNDAMENTAL THEOREM OF CALCULUS.APPENDIX C: FORMULAS.

What's New

NEW! Hybrid versions of the text provide a less-expensive, shorter option for students using EWA. End-of-section problems are omitted from the text and appear online only.

New! Chapter on Differential Equations, includes topics on solutions of differential equations, separation of variables, and first-order linear differential equations.

New! Summarize guides students in creating section-level concept summaries. Summarize is aimed at helping students process and organize key concepts, while providing a valuable study tool.

New and Revised! Based on analyses of actual student usage data, the Exercise Sets available in both EWA and the eBook have been revised to improve student comprehension. Exercises progress from skill-development problems to more challenging, real-life applications—all of which can be customized to the difficulty level of the instructor's choice.

NEW! Interested in a simple way to complement your text and course content with study and practice materials? Cengage Learning's CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Watch student comprehension soar as your class works with the printed textbook and the textbook-specific website. CourseMate goes beyond the book to deliver what you need!

Alternate Formats

Choose the format that best fits your student's budget and course goals

If your instructor has chosen to package Enhanced WebAssign with your text, this manual will help you get up and running quickly with the Enhanced WebAssign system so you can study smarter and improve your performance in class.

If your instructor has chosen to package Enhanced WebAssign with your text, this manual will help you get up and running quickly with the Enhanced WebAssign system so you can study smarter and improve your performance in class.

Meet the Author

Author Bio

Ron Larson

Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2014 William Holmes McGuffey Longevity Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the 2014 Text and Academic Authors Association TEXTY Award for PRECALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.

Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2014 William Holmes McGuffey Longevity Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the 2014 Text and Academic Authors Association TEXTY Award for PRECALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.